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Finding the Fourth Proportional to 10,458, 15,687.90 and 2,666.79

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Solution

The fourth proportional to 10,458, 15,687.90 and 2,666.79 is: 4,000.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458 : 15,687.90 = 2,666.79 : x
  2. Step 2: Convert to fraction form
    10,458/15,687.90 = 2,666.79/x
  3. Step 3: Cross multiply
    10,458x = 15,687.90 × 2,666.79
  4. Step 4: Simplify right side
    10,458x = 41,836,334.84
  5. Step 5: Solve for x
    x = 41,836,334.84/10,458
  6. Step 6: Final answer
    x = 4,000.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.